To find the quotient of \(-2 \frac{3}{5}\) divided by \(\frac{4}{5}\), we first need to convert the mixed number \(-2 \frac{3}{5}\) into an improper fraction.
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Convert \(-2 \frac{3}{5}\): \[ -2 \frac{3}{5} = -\left(2 \times 5 + 3\right)/5 = -\left(10 + 3\right)/5 = -\frac{13}{5} \]
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Now, we need to divide \(-\frac{13}{5}\) by \(\frac{4}{5}\). Dividing by a fraction is the same as multiplying by its reciprocal: \[ -\frac{13}{5} \div \frac{4}{5} = -\frac{13}{5} \times \frac{5}{4} \]
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Simplifying this gives: \[ -\frac{13 \times 5}{5 \times 4} = -\frac{13}{4} \]
Thus, the quotient of \(-2 \frac{3}{5}\) divided by \(\frac{4}{5}\) is \(-\frac{13}{4}\).
Since the options listed do not appear to match this directly, let's check to see if it can be expressed differently:
\(-\frac{13}{4}\) can be converted to a mixed number: \[ -\frac{13}{4} = -3 \frac{1}{4} \]
Thus, the quotient is \(-3\frac{1}{4}\).
The correct response is: −3 Start Fraction 1 over 4 End Fraction.